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Finding the Fourth Proportional to 305,077.46, 421,022.34 and 175,967.91

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Solution

The fourth proportional to 305,077.46, 421,022.34 and 175,967.91 is: 242,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,077.46 : 421,022.34 = 175,967.91 : x
  2. Step 2: Convert to fraction form
    305,077.46/421,022.34 = 175,967.91/x
  3. Step 3: Cross multiply
    305,077.46x = 421,022.34 × 175,967.91
  4. Step 4: Simplify right side
    305,077.46x = 74,086,421,233.11
  5. Step 5: Solve for x
    x = 74,086,421,233.11/305,077.46
  6. Step 6: Final answer
    x = 242,844.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.